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Finding the Fourth Proportional to 82.76, 124.10 and 42.23

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Solution

The fourth proportional to 82.76, 124.10 and 42.23 is: 63.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.76 : 124.10 = 42.23 : x
  2. Step 2: Convert to fraction form
    82.76/124.10 = 42.23/x
  3. Step 3: Cross multiply
    82.76x = 124.10 × 42.23
  4. Step 4: Simplify right side
    82.76x = 5,240.53
  5. Step 5: Solve for x
    x = 5,240.53/82.76
  6. Step 6: Final answer
    x = 63.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.